Answer:
-2
Step-by-step explanation:
X1 Y1 X2 Y2
(-15, 30) (7, -14)
Y2-Y1 = -14-30 = -44 = -2
———————————————
X2-X1 = 7-(-15)= 22 = 1
Answer: 18
Step-by-step explanation:
Let x be the number of 2 point baskets made and y be the number of 3 point baskets made
:
1) x + y = 26
:
2) 2x + 3y = 60
:
solve equation 1 for x and substitute in equation 2
:
x = 26 - y
:
2(26 - y) +3y = 60
:
52 -2y +3y = 60
:
y = 8
:
x = 26 - 8 = 18
:
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The team made 18 2-point shots
First, simplify out the brackets:
-20 - 4n = -12
Then, combine like terms by moving the -20 to the other side
-4n = -12 + 20
-4n = 8
Divide by -4 on both sides to isolate the n
n = 8/-4
n = -2
Answer:
(x - 10)² + (y + 9)² = 20
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre to a point on the circle
To calculate r use the distance formula
r = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)
r = 
=
=
, hence
(x - 10)² + (y - (- 9))² = (
)², that is
(x - 10)² + (y + 9)² = 20